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Finding the Fourth Proportional to 160,338.32, 221,131.56 and 120,146.96

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Solution

The fourth proportional to 160,338.32, 221,131.56 and 120,146.96 is: 165,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,338.32 : 221,131.56 = 120,146.96 : x
  2. Step 2: Convert to fraction form
    160,338.32/221,131.56 = 120,146.96/x
  3. Step 3: Cross multiply
    160,338.32x = 221,131.56 × 120,146.96
  4. Step 4: Simplify right side
    160,338.32x = 26,568,284,694.06
  5. Step 5: Solve for x
    x = 26,568,284,694.06/160,338.32
  6. Step 6: Final answer
    x = 165,701.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.